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" The Geometry of Supermanifolds "
by Claudio Bartocci, Ugo Bruzzo, Daniel Hernández-Ruipérez.
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BL
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579592
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b408811
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| Main Entry
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Bartocci, Claudio.
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| Title & Author
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The Geometry of Supermanifolds\ by Claudio Bartocci, Ugo Bruzzo, Daniel Hernández-Ruipérez.
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| Publication Statement
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Dordrecht :: Springer Netherlands :: Imprint: Springer,, 1991.
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| Series Statement
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Mathematics and Its Applications ;; 71
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| ISBN
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9789401135047
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: 9789401055505
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| Contents
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I: Foundations -- I - Elements of graded algebra -- II - Sheaves and cohomology -- II Supermanifolds -- III - Categories of supermanifolds -- IV - Basic geometry of G-supermanifolds -- V - Cohomology of supermanifolds -- VI - Geometry of super vector bundles -- VII - Lie supergroups and principal super fibre bundles.
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| Abstract
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'Et moi, ...- si favait III mmment en revenir, One service mathematics has rendered the je n'y serais point aile:' human race. It has put CXlUImon sense back Iules Verne where it belongs. on the topmost shelf next to the dUlty canister lahelled 'discarded non- The series i. divergent; therefore we may be able to do something with it. Eric T. Bell O. Hesvi.ide Mathematics is a tool for thOUght. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d't!tre of this series.
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Mathematics.
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Global analysis.
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Global differential geometry.
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Bruzzo, Ugo.
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Hernández-Ruipérez, Daniel.
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SpringerLink (Online service)
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